SOLUTION: Please Verify this w/work : sin^2x-cos^2x/sinx+cosx=sinx-cosx

Algebra ->  Trigonometry-basics -> SOLUTION: Please Verify this w/work : sin^2x-cos^2x/sinx+cosx=sinx-cosx      Log On


   

Question 974372: Please Verify this w/work : sin^2x-cos^2x/sinx+cosx=sinx-cosx
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%28sin%5E2%28x%29-cos%5E2%28x%29%29%2F%28sin%28x%29%2Bcos%28x%29%29=sin%28x%29-cos%28x%29

....recall the difference of squares rule:sin%5E2%28x%29-cos%5E2%28x%29=%28sin%28x%29-cos%28x%29%29%28sin%28x%29%2Bcos%28x%29%29; so, we have





sin%28x%29-cos%28x%29=sin%28x%29-cos%28x%29